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A finite element me...
A finite element method with discontinuous rotations for the Mindlin-Reissner plate model
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- Hansbo, Peter F G, 1959 (författare)
- Jönköping University,Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematik,Department of Mathematical Sciences, Mathematics,Chalmers tekniska högskola,Chalmers University of Technology,University of Gothenburg,JTH. Forskningsmiljö Produktutveckling - Simulering och optimering
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- Heintz, David, 1978 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematik,Department of Mathematical Sciences, Mathematics,University of Gothenburg,Chalmers tekniska högskola,Chalmers University of Technology,Chalmers University of Technology and University of Gothenburg
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- Larson, Mats G (författare)
- Umeå universitet,Institutionen för matematik och matematisk statistik,Umeå University
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(creator_code:org_t)
- Elsevier BV, 2011
- 2011
- Engelska.
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Ingår i: Computer Methods in Applied Mechanics and Engineering. - : Elsevier BV. - 0045-7825 .- 1879-2138. ; 200:5-8, s. 638-648
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Abstract
Ämnesord
Stäng
- We present a continuous-discontinuous finite element method for the Mindlin-Reissner plate model based on continuous polynomials of degree k >= 2 for the transverse displacements and discontinuous polynomials of degree k - 1 for the rotations. We prove a priori convergence estimates, uniformly in the thickness of the plate, and thus show that locking is avoided. We also derive a posteriori error estimates based on duality, together with corresponding adaptive procedures for controlling linear functionals of the error. Finally, we present some numerical results.
Ämnesord
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- Nitsche's method
- Discontinuous Galerkin
- Plate model
- Error estimates
- galerkin method
- elasticity
- galerkin method
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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